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Finding the Fourth Proportional to 13,929.84, 20,862.24 and 12,096

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Solution

The fourth proportional to 13,929.84, 20,862.24 and 12,096 is: 18,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.84 : 20,862.24 = 12,096 : x
  2. Step 2: Convert to fraction form
    13,929.84/20,862.24 = 12,096/x
  3. Step 3: Cross multiply
    13,929.84x = 20,862.24 × 12,096
  4. Step 4: Simplify right side
    13,929.84x = 252,349,655.04
  5. Step 5: Solve for x
    x = 252,349,655.04/13,929.84
  6. Step 6: Final answer
    x = 18,115.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.